AM GM inequality

This is the 56th solution set of 10 practice problem exercise for SSC CGL exam and 5th on topic Trigonometry. Students should complete the corresponding question exercise in prescribed time first and then only refer to this solution set. Some of these 10 questions may seem to be difficult at first glance...

Some problems look difficult, but if you have a clear strategy of dealing with this type of problems, and is ready to change track by reevaluating the strategy midway, chances are high that you will reach the efficient solution in a few quick steps...

Trigonometric functions behave not exactly like common algebraic variables, and so maximizing or minimizing an expression of trigonometric terms requires first conversion of the expression to a single function expression. Frequently the rich algebraic concept of AM GM inequality also comes handy for solving such problems...